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Stochastic optimization of engineering systems is often infeasible due to repeated evaluations of a computationally expensive, high-fidelity simulation. Bi-fidelity methods mitigate this challenge by leveraging a cheaper, approximate model…

最优化与控制 · 数学 2025-12-19 Thomas O. Dixon , Geoffrey F. Bomarito , James E. Warner , Alex A. Gorodetsky

The use of model-based numerical simulation of wave propagation in rooms for engineering applications requires that acoustic conditions for multiple parameters are evaluated iteratively and this is computationally expensive. We present a…

In this paper, we develop efficient randomized algorithms for estimating probabilistic robustness margin and constructing robustness degradation curve for uncertain dynamic systems. One remarkable feature of these algorithms is their…

最优化与控制 · 数学 2008-05-13 Xinjia Chen , Kemin Zhou , Jorge L. Aravena

The study of robustness has received much attention due to its inevitability in data-driven settings where many systems face uncertainty. One such example of concern is Bayesian Optimization (BO), where uncertainty is multi-faceted, yet…

机器学习 · 计算机科学 2023-10-31 Hisham Husain , Vu Nguyen , Anton van den Hengel

Computational design problems arise in a number of settings, from synthetic biology to computer architectures. In this paper, we aim to solve data-driven model-based optimization (MBO) problems, where the goal is to find a design input that…

机器学习 · 计算机科学 2021-07-15 Brandon Trabucco , Aviral Kumar , Xinyang Geng , Sergey Levine

Machine learning techniques always aim to reduce the generalized prediction error. In order to reduce it, ensemble methods present a good approach combining several models that results in a greater forecasting capacity. The Random Machines…

机器学习 · 统计学 2020-03-31 Anderson Ara , Mateus Maia , Samuel Macêdo , Francisco Louzada

A comprehensive approach for real-time computations using a database of parameterized linear reduced-order models (ROMs) is proposed. The method proceeds by sampling offline ROMs for specific values of the parameters and interpolating…

数值分析 · 数学 2015-06-24 David Amsallem , Radek Tezaur , Charbel Farhat

The congestion control algorithm bring such importance that it avoids the network link into severe congestion and guarantees network normal operation. Since The loss based algorithms introduce high transmission delay, to design new…

网络与互联网体系结构 · 计算机科学 2019-09-10 Songyang Zhang

This paper considers Bayesian optimization (BO) for problems with known outer problem structure. In contrast to the classic BO setting, where the objective function itself is unknown and needs to be iteratively estimated from noisy…

最优化与控制 · 数学 2025-03-19 Katrin Baumgärtner , Moritz Diehl

Bayesian optimization (BO) is an efficient framework for optimizing expensive black-box functions. However, it is typically formulated as learning an end-to-end mapping from inputs to scalar objectives, thereby discarding the potentially…

机器学习 · 计算机科学 2026-05-12 Wenbin Wang , Colin N. Jones

This paper proposes a robust approximation method for solving chance constrained optimization (CCO) of polynomials. Assume the CCO is defined with an individual chance constraint that is affine in the decision variables. We construct a…

最优化与控制 · 数学 2024-08-27 Bo Rao , Liu Yang , Suhan Zhong , Guangming Zhou

A high fidelity fluid-structure interaction simulation may require many days to run, on hundreds of cores. This poses a serious burden, both in terms of time and economic considerations, when repetitions of such simulations may be required…

计算工程、金融与科学 · 计算机科学 2021-04-12 Wensi Wu , Christophe Bonneville , Christopher J. Earls

In this paper, we analyze the convergence %semi-convergence properties of projected non-stationary block iterative methods (P-BIM) aiming to find a constrained solution to large linear, usually both noisy and ill-conditioned, systems of…

数值分析 · 数学 2022-02-11 Mahdi Mirzapour , Andrzej Cegielski , Tommy Elfving

The proximal bundle method (PBM) is a fundamental and computationally effective algorithm for solving nonsmooth optimization problems. In this paper, we present the first variant of the PBM for smooth objectives, achieving an accelerated…

最优化与控制 · 数学 2025-04-30 David Fersztand , Xu Andy Sun

In this work, we analyze an efficient sampling-based algorithm for general-purpose reachability analysis, which remains a notoriously challenging problem with applications ranging from neural network verification to safety analysis of…

系统与控制 · 电气工程与系统科学 2022-04-15 Thomas Lew , Lucas Janson , Riccardo Bonalli , Marco Pavone

The idea of iterative process optimization based on collected output measurements, or "real-time optimization" (RTO), has gained much prominence in recent decades, with many RTO algorithms being proposed, researched, and developed. While…

最优化与控制 · 数学 2013-08-14 Gene A. Bunin , Grégory François , Dominique Bonvin

In manufacturing, a bottleneck workstation frequently emerges, complicating production planning and escalating costs. To address this, Drum-Buffer-Rope (DBR) is a widely recognized production planning and control method that focuses on…

系统与控制 · 电气工程与系统科学 2024-09-21 Balwin Bokor , Wolfgang Seiringer , Klaus Altendorfer

FOLD-RM is an explainable machine learning classification algorithm that uses training data to create a set of classification rules. In this paper we introduce CON-FOLD which extends FOLD-RM in several ways. CON-FOLD assigns…

人工智能 · 计算机科学 2024-08-16 Lachlan McGinness , Peter Baumgartner

Black-box optimization algorithms have been widely used in various machine learning problems, including reinforcement learning and prompt fine-tuning. However, directly optimizing the training loss value, as commonly done in existing…

机器学习 · 计算机科学 2024-10-17 Feiyang Ye , Yueming Lyu , Xuehao Wang , Masashi Sugiyama , Yu Zhang , Ivor Tsang

Suitable estimators for a class of Large Deviation approximations of rare event probabilities based on sample realizations of random processes have been proposed in our earlier work. These estimators are expressed as non-linear…

信息论 · 计算机科学 2016-05-04 Spyridon Vassilaras , Ioannis Ch. Paschalidis